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myhill
nerode
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AutomataTheory
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1.
Alph:
Type
2.
L:
LangOver(Alph)
3.
EquivRel x,y:Alph*. x L-induced Equiv y
4.
Fin(Alph)
5.
Fin(x,y:Alph*//L-induced Equiv(x,y))
6.
l:Alph*. Dec(L(l))
7.
g:
Alph*
8.
t:Alph*. L(t)
g(t)
9.
< (
s,a. a.s),nil,g >
Automata(Alph;x,y:Alph*//L-induced Equiv(x,y))
Auto:Automata(Alph;x,y:Alph*//L-induced Equiv(x,y)). Fin(x,y:Alph*//L-induced Equiv(x,y)) & L = LangOf(Auto)
By:
Witness < (
s,a. a.s),nil,g >
Generated subgoal:
1
Fin(x,y:Alph*//L-induced Equiv(x,y)) & L = LangOf( < (
s,a. a.s),nil,g > )
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